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Finding the Fourth Proportional to 511.56, 770.18 and 441.09

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Solution

The fourth proportional to 511.56, 770.18 and 441.09 is: 664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.56 : 770.18 = 441.09 : x
  2. Step 2: Convert to fraction form
    511.56/770.18 = 441.09/x
  3. Step 3: Cross multiply
    511.56x = 770.18 × 441.09
  4. Step 4: Simplify right side
    511.56x = 339,716.49
  5. Step 5: Solve for x
    x = 339,716.49/511.56
  6. Step 6: Final answer
    x = 664.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.